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Finding the Fourth Proportional to 641.56, 881.51 and 510.34

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Solution

The fourth proportional to 641.56, 881.51 and 510.34 is: 701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.56 : 881.51 = 510.34 : x
  2. Step 2: Convert to fraction form
    641.56/881.51 = 510.34/x
  3. Step 3: Cross multiply
    641.56x = 881.51 × 510.34
  4. Step 4: Simplify right side
    641.56x = 449,869.81
  5. Step 5: Solve for x
    x = 449,869.81/641.56
  6. Step 6: Final answer
    x = 701.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.